Given numbers are 206,224,701,960,735

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 206,224,701,960,735 is 3396429120.

Find LCM of 206,224,701,960,735 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 103 x 1 x 701 x 2 x 7 = 3396429120

Therefore, the lowest common multiple of 206,224,701,960,735 is 3396429120.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

206 x 224 x 701 x 960 x 735 = 22824003686400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

206 : 1, 2, 103, 206

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

701 : 1, 701

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,224,701,960,735, is 1.

Now, the common factors can be found like this.

206:2x 103

224:2x 2x 2x 2x 2x 7

701:701

960:2x 2x 2x 2x 2x 2x 3x 5

735:3x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3x 5x 7 = 6720

Therefore, the value for common factors is 6720.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 22824003686400/(1x6720)

LCM = 22824003686400/6720

LCM = 3396429120

Thus, we can understand that the LCM of 206,224,701,960,735 is 3396429120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 879, 636, 422, 666, 230
• LCM of 544, 175, 874, 468, 117
• LCM of 489, 711, 772, 414, 462
• LCM of 871, 265, 327, 215, 362
• LCM of 934, 864, 640, 436, 291

1. What is the LCM of 206, 224, 701, 960, 735?

Answer: LCM of 206, 224, 701, 960, 735 is 3396429120.

2. How to calculate the LCM of 206, 224, 701, 960, 735?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 206, 224, 701, 960, 735.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.